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Simplifying 0.4w + -0.8 = -8 + w Reorder the terms: -0.8 + 0.4w = -8 + w Solving -0.8 + 0.4w = -8 + w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. -0.8 + 0.4w + -1w = -8 + w + -1w Combine like terms: 0.4w + -1w = -0.6w -0.8 + -0.6w = -8 + w + -1w Combine like terms: w + -1w = 0 -0.8 + -0.6w = -8 + 0 -0.8 + -0.6w = -8 Add '0.8' to each side of the equation. -0.8 + 0.8 + -0.6w = -8 + 0.8 Combine like terms: -0.8 + 0.8 = 0.0 0.0 + -0.6w = -8 + 0.8 -0.6w = -8 + 0.8 Combine like terms: -8 + 0.8 = -7.2 -0.6w = -7.2 Divide each side by '-0.6'. w = 12 Simplifying w = 12
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